{
 "schema_version": "0.1",
 "name": "[[144,48,2]] 2BGA",
 "code_type": "CSS",
 "n": 144,
 "k": 48,
 "checks": {
  "X": [
   [
    0,
    4,
    72,
    76,
    94,
    138,
    141
   ],
   [
    1,
    8,
    72,
    73,
    80,
    100,
    104
   ],
   [
    2,
    12,
    74,
    84,
    111,
    115,
    143
   ],
   [
    3,
    14,
    73,
    75,
    86,
    110,
    114
   ],
   [
    0,
    4,
    72,
    76,
    79,
    127,
    131
   ],
   [
    5,
    16,
    77,
    88,
    126,
    130,
    133
   ],
   [
    6,
    20,
    74,
    77,
    78,
    92,
    121
   ],
   [
    7,
    22,
    75,
    79,
    94,
    119,
    123
   ],
   [
    1,
    8,
    73,
    76,
    80,
    120,
    124
   ],
   [
    9,
    24,
    81,
    82,
    85,
    89,
    96
   ],
   [
    10,
    27,
    82,
    99,
    126,
    130,
    133
   ],
   [
    11,
    29,
    78,
    81,
    83,
    101,
    129
   ],
   [
    2,
    12,
    74,
    84,
    91,
    95,
    139
   ],
   [
    13,
    31,
    85,
    94,
    103,
    138,
    141
   ],
   [
    3,
    14,
    75,
    80,
    86,
    128,
    132
   ],
   [
    15,
    33,
    87,
    90,
    93,
    97,
    105
   ],
   [
    5,
    16,
    77,
    88,
    108,
    112,
    116
   ],
   [
    17,
    35,
    89,
    107,
    111,
    115,
    143
   ],
   [
    18,
    37,
    82,
    85,
    89,
    90,
    109
   ],
   [
    19,
    39,
    83,
    87,
    91,
    111,
    135
   ],
   [
    6,
    20,
    78,
    84,
    88,
    92,
    136
   ],
   [
    21,
    41,
    72,
    93,
    100,
    104,
    113
   ],
   [
    7,
    22,
    79,
    86,
    94,
    134,
    137
   ],
   [
    23,
    43,
    95,
    98,
    102,
    106,
    115
   ],
   [
    9,
    24,
    81,
    96,
    99,
    103,
    107
   ],
   [
    25,
    45,
    74,
    77,
    97,
    117,
    121
   ],
   [
    26,
    46,
    90,
    93,
    97,
    98,
    118
   ],
   [
    10,
    27,
    82,
    99,
    108,
    112,
    116
   ],
   [
    28,
    48,
    100,
    111,
    115,
    120,
    143
   ],
   [
    11,
    29,
    83,
    92,
    96,
    101,
    140
   ],
   [
    30,
    50,
    73,
    102,
    110,
    114,
    122
   ],
   [
    13,
    31,
    79,
    85,
    103,
    127,
    131
   ],
   [
    32,
    52,
    104,
    124,
    126,
    130,
    133
   ],
   [
    15,
    33,
    87,
    105,
    109,
    113,
    117
   ],
   [
    34,
    53,
    78,
    81,
    106,
    125,
    129
   ],
   [
    17,
    35,
    89,
    91,
    95,
    107,
    139
   ],
   [
    36,
    54,
    98,
    102,
    106,
    108,
    126
   ],
   [
    18,
    37,
    90,
    99,
    103,
    107,
    109
   ],
   [
    38,
    56,
    74,
    77,
    110,
    121,
    128
   ],
   [
    19,
    39,
    91,
    101,
    105,
    111,
    142
   ],
   [
    40,
    58,
    75,
    112,
    119,
    123,
    130
   ],
   [
    21,
    41,
    76,
    93,
    113,
    120,
    124
   ],
   [
    42,
    60,
    82,
    85,
    89,
    114,
    132
   ],
   [
    23,
    43,
    95,
    115,
    118,
    122,
    125
   ],
   [
    44,
    61,
    83,
    87,
    116,
    133,
    135
   ],
   [
    25,
    45,
    84,
    88,
    97,
    117,
    136
   ],
   [
    26,
    46,
    98,
    109,
    113,
    117,
    118
   ],
   [
    47,
    62,
    78,
    81,
    119,
    129,
    134
   ],
   [
    28,
    48,
    91,
    95,
    100,
    120,
    139
   ],
   [
    49,
    64,
    94,
    121,
    136,
    138,
    141
   ],
   [
    30,
    50,
    80,
    102,
    122,
    128,
    132
   ],
   [
    51,
    65,
    90,
    93,
    97,
    123,
    137
   ],
   [
    32,
    52,
    104,
    108,
    112,
    116,
    124
   ],
   [
    34,
    53,
    92,
    96,
    106,
    125,
    140
   ],
   [
    36,
    54,
    108,
    118,
    122,
    125,
    126
   ],
   [
    55,
    66,
    83,
    87,
    127,
    135,
    138
   ],
   [
    38,
    56,
    84,
    88,
    110,
    128,
    136
   ],
   [
    57,
    68,
    72,
    100,
    104,
    129,
    140
   ],
   [
    40,
    58,
    86,
    112,
    130,
    134,
    137
   ],
   [
    59,
    69,
    98,
    102,
    106,
    131,
    141
   ],
   [
    42,
    60,
    99,
    103,
    107,
    114,
    132
   ],
   [
    44,
    61,
    101,
    105,
    116,
    133,
    142
   ],
   [
    47,
    62,
    92,
    96,
    119,
    134,
    140
   ],
   [
    63,
    70,
    73,
    110,
    114,
    135,
    142
   ],
   [
    49,
    64,
    79,
    121,
    127,
    131,
    136
   ],
   [
    51,
    65,
    109,
    113,
    117,
    123,
    137
   ],
   [
    55,
    66,
    101,
    105,
    127,
    138,
    142
   ],
   [
    67,
    71,
    75,
    119,
    123,
    139,
    143
   ],
   [
    57,
    68,
    76,
    120,
    124,
    129,
    140
   ],
   [
    59,
    69,
    118,
    122,
    125,
    131,
    141
   ],
   [
    63,
    70,
    80,
    128,
    132,
    135,
    142
   ],
   [
    67,
    71,
    86,
    134,
    137,
    139,
    143
   ]
  ],
  "Z": [
   [
    0,
    1,
    4,
    21,
    57,
    72,
    76
   ],
   [
    1,
    3,
    8,
    30,
    63,
    73,
    80
   ],
   [
    2,
    6,
    12,
    25,
    38,
    74,
    84
   ],
   [
    3,
    7,
    14,
    40,
    67,
    75,
    86
   ],
   [
    0,
    4,
    8,
    41,
    68,
    72,
    76
   ],
   [
    5,
    6,
    16,
    25,
    38,
    77,
    88
   ],
   [
    6,
    11,
    20,
    34,
    47,
    78,
    92
   ],
   [
    4,
    7,
    22,
    31,
    64,
    79,
    94
   ],
   [
    1,
    8,
    14,
    50,
    70,
    73,
    80
   ],
   [
    9,
    11,
    24,
    34,
    47,
    81,
    96
   ],
   [
    9,
    10,
    18,
    27,
    42,
    82,
    99
   ],
   [
    11,
    19,
    29,
    44,
    55,
    83,
    101
   ],
   [
    2,
    12,
    20,
    45,
    56,
    74,
    84
   ],
   [
    9,
    13,
    18,
    31,
    42,
    85,
    103
   ],
   [
    3,
    14,
    22,
    58,
    71,
    75,
    86
   ],
   [
    15,
    19,
    33,
    44,
    55,
    87,
    105
   ],
   [
    5,
    16,
    20,
    45,
    56,
    77,
    88
   ],
   [
    9,
    17,
    18,
    35,
    42,
    89,
    107
   ],
   [
    15,
    18,
    26,
    37,
    51,
    90,
    109
   ],
   [
    12,
    19,
    35,
    39,
    48,
    91,
    111
   ],
   [
    6,
    20,
    29,
    53,
    62,
    78,
    92
   ],
   [
    15,
    21,
    26,
    41,
    51,
    93,
    113
   ],
   [
    0,
    7,
    13,
    22,
    49,
    79,
    94
   ],
   [
    12,
    23,
    35,
    43,
    48,
    95,
    115
   ],
   [
    9,
    24,
    29,
    53,
    62,
    81,
    96
   ],
   [
    15,
    25,
    26,
    45,
    51,
    97,
    117
   ],
   [
    23,
    26,
    36,
    46,
    59,
    98,
    118
   ],
   [
    10,
    24,
    27,
    37,
    60,
    82,
    99
   ],
   [
    1,
    21,
    28,
    48,
    57,
    100,
    120
   ],
   [
    11,
    29,
    39,
    61,
    66,
    83,
    101
   ],
   [
    23,
    30,
    36,
    50,
    59,
    102,
    122
   ],
   [
    13,
    24,
    31,
    37,
    60,
    85,
    103
   ],
   [
    1,
    21,
    32,
    52,
    57,
    104,
    124
   ],
   [
    15,
    33,
    39,
    61,
    66,
    87,
    105
   ],
   [
    23,
    34,
    36,
    53,
    59,
    106,
    125
   ],
   [
    17,
    24,
    35,
    37,
    60,
    89,
    107
   ],
   [
    16,
    27,
    36,
    52,
    54,
    108,
    126
   ],
   [
    18,
    33,
    37,
    46,
    65,
    90,
    109
   ],
   [
    3,
    30,
    38,
    56,
    63,
    110,
    128
   ],
   [
    2,
    17,
    19,
    28,
    39,
    91,
    111
   ],
   [
    16,
    27,
    40,
    52,
    58,
    112,
    130
   ],
   [
    21,
    33,
    41,
    46,
    65,
    93,
    113
   ],
   [
    3,
    30,
    42,
    60,
    63,
    114,
    132
   ],
   [
    2,
    17,
    23,
    28,
    43,
    95,
    115
   ],
   [
    16,
    27,
    44,
    52,
    61,
    116,
    133
   ],
   [
    25,
    33,
    45,
    46,
    65,
    97,
    117
   ],
   [
    26,
    43,
    46,
    54,
    69,
    98,
    118
   ],
   [
    7,
    40,
    47,
    62,
    67,
    119,
    134
   ],
   [
    8,
    28,
    41,
    48,
    68,
    100,
    120
   ],
   [
    6,
    25,
    38,
    49,
    64,
    121,
    136
   ],
   [
    30,
    43,
    50,
    54,
    69,
    102,
    122
   ],
   [
    7,
    40,
    51,
    65,
    67,
    123,
    137
   ],
   [
    8,
    32,
    41,
    52,
    68,
    104,
    124
   ],
   [
    34,
    43,
    53,
    54,
    69,
    106,
    125
   ],
   [
    5,
    10,
    32,
    36,
    54,
    108,
    126
   ],
   [
    4,
    31,
    55,
    64,
    66,
    127,
    138
   ],
   [
    14,
    38,
    50,
    56,
    70,
    110,
    128
   ],
   [
    11,
    34,
    47,
    57,
    68,
    129,
    140
   ],
   [
    5,
    10,
    32,
    40,
    58,
    112,
    130
   ],
   [
    4,
    31,
    59,
    64,
    69,
    131,
    141
   ],
   [
    14,
    42,
    50,
    60,
    70,
    114,
    132
   ],
   [
    5,
    10,
    32,
    44,
    61,
    116,
    133
   ],
   [
    22,
    47,
    58,
    62,
    71,
    119,
    134
   ],
   [
    19,
    44,
    55,
    63,
    70,
    135,
    142
   ],
   [
    20,
    45,
    49,
    56,
    64,
    121,
    136
   ],
   [
    22,
    51,
    58,
    65,
    71,
    123,
    137
   ],
   [
    0,
    13,
    49,
    55,
    66,
    127,
    138
   ],
   [
    12,
    35,
    48,
    67,
    71,
    139,
    143
   ],
   [
    29,
    53,
    57,
    62,
    68,
    129,
    140
   ],
   [
    0,
    13,
    49,
    59,
    69,
    131,
    141
   ],
   [
    39,
    61,
    63,
    66,
    70,
    135,
    142
   ],
   [
    2,
    17,
    28,
    67,
    71,
    139,
    143
   ]
  ]
 },
 "distance": {
  "d": 2,
  "X": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    93,
    113
   ]
  },
  "Z": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    1,
    8
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on SmallGroup(72,12), from github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, nonabelian.zip, diswtnonabelian_wt7wtL2_order72_k48.txt, line 1. nonidentity supports a=[5], b=[2, 5, 22, 58].",
  "references": [],
  "date": "2026-09-19",
  "notes": "Literature reproduction of a published 2BGA code (arXiv:2306.16400; github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c). Checked against the live board: not equivalent to any existing entry.",
  "model": "DeepSeek V4 Flash 0731",
  "origin": "submission"
 },
 "family": "generalized-bicycle"
}
